Herb Gross defines and explains what is meant by a conformal mapping. Prof. Gross shows that analytic functions w = f(z) for which f'(z) â 0 are invertible. He then talks about the fact that if f(x,y) = u + iv is analytic, and f'(z) â 0, then the mapping from the x-y plane into the u-v plane preserves solutions to Laplace's Equation. Further, since f is invertible, solutions in the u-v plane can be mapped back to the original x-y space.
![[item image]](http://ia600609.us.archive.org/13/items/CalculusRevisitedPart3-ConformalMapping/280103-1.gif?cnt=0 "[item image]")
![[help]](/images/question.gif "[help]")
![[Attribution-Noncommercial-No Derivative Works 3.0]](http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png "[Attribution-Noncommercial-No Derivative Works 3.0]")
